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Search: id:A108414
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| A108414 |
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Number of integer k:s for which max{x^(k-x) | x integer, 0<x<k} = n^(k-n). |
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+0
1
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| 1, 2, 3, 4, 3, 4, 4, 4, 4, 5, 4, 5, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Consider the following triangle:
...................1
................1..-..2
............1......4..-..3
.........1......8..-..9.....4
......1....16.....27..-.16....5
....1...32.....81.--.64....25...6
.1...64...243..--256...125...36..7
1.128..729...1024---625...216..49.8
.............----..................
The first row is 1^1, the 2nd row is 1^2, 2^1, the 3rd row is 1^3, 2^2, 3^1 ... the m-th row is 1^m, ..., m^1. The maximum element in each row is marked. The marked elements lie in downward-sloping chains. This sequence gives the lengths of those chains.
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CROSSREFS
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Sequence in context: A030398 A030384 A067349 this_sequence A097477 A059572 A031249
Adjacent sequences: A108411 A108412 A108413 this_sequence A108415 A108416 A108417
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KEYWORD
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nonn
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AUTHOR
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Jonas Wallgren (jonwa(AT)ida.liu.se), Jul 04 2005
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